Question

do you know how to differientate sin(x^y)

Answer 1

Use the chain rule. d(f(g(x))/dx = g'(x) * f'(g(x)).

Answer 2

you mean :\[(\sin(x))^y\]

?

Answer 3

If that is y = sin(x^y), then you have to use implicit differentiation.

Answer 4

\[(\sin (x)^{y} \times y) \div \tan (x)\]

Answer 5

the derivative will be \[\cos(x ^{y})*(x^y)\prime\]

Answer 6

to differentiate \[(x^y)\prime\] you implicitly differentiate by setting = z

Answer 7

\[z=(x^y)\prime\]\[\ln(z)=yln(x)\]\[zprime/z=(y/x)*x \prime+\ln(x)*y \prime\]\[z \prime=z*(all that stuff)\]